Mathematics

• Description:

 We will review several constructions of smooth four-dimensional manifolds that have proven useful to unveil inequivalent smooth structures.  

• Topics:

1. Akbulut corks and h-cobordisms.
2. Logarithmic transformations.
3. Generalized fiber sums
4. Elliptic surfaces and their Gompf nuclei.
5. Round handles.

• Bibiography:

1. Hirsch, Differential topology. 
2. Baykur-Sunukjian, Round handles, logarithmic transformations and smooth 4-manifolds. 
3. Gompf-Stipsicz, 4-manifolds and Kirby calculus
4. Kirby, The topology of 4-manifolds.